Quantitative Aptitude - Arithmetic Ability Questions

The ratio of incomes of C and D is 3 : 2. Ratio of income of D and E is 5 : 4. If one-third of C’s income is Rs 4000 more than the half of E’s income, then what is the D’s income (in Rs)?

A and B have their annual average income Rs. 80,000.
B and C have their annual average income Rs. 75,000.
C and A have their annual average income Rs. 78,000.

The annual income of A is ?

Expand and simplify (3x + 2)2*(4x -­ 3) -­ (2x3 - 9x2 + 12x -­ 24)

What is the difference (in Rs) between compound interest (compounded annually) and simple interest for 3 years on a principal of Rs 3000 at the annual rate of 20%?

If 8x/3 + [7(5 - 2x/3)]/2 = 1/2 , then what is the value of x?

If a(x + y) = b(x - y) = 2ab, then the value of 2(x2 + y2)

Find the roots of the quadratic equation 27x2 + 57x -­ 14 = 0

The sum of the ages of Rohit and Ankit is 78. Rohit's age is twice the age of Ankit. What is the age (in years) of Rohit?